Is 9x² 24x 16 a perfect square trinomial?

Answers

Answer 1

9x² + 24x + 16, which is the full quadratic trinomial expressed as (3x +4)².

What is a trinomial expression?

A trinomial expression is an algebraic expression containing three distinct terms, hence the name "trinomial expression". An algebraic expression called a trinomial expression contains three nonzero terms. A trinomial expression is formed when three monomials are added or subtracted from each other. A quadratic trinomial has the form: ax² + bx + c, where a, b, and c are nonzero real values.

Given that

9x² + 24x + 16

= (3x)² + 2(12x) + 16

= (3x)² + 2(3x)(4) + 4²

This is similar to a² + 2ab + b² = (a + b)².

So you can write:

= (3x + 4)²

= (3x +4) (3x + 4)

So this is a complete quadratic trinomial.

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Related Questions

Jose has $34 to spend at the Texas State Fair. If the entrance ticket costs $12, then how much money does jose have to spend on food and games?

ONE-STEP EQUATIONS APPLICATION II 6TH MATH
WITH EQUATION!

Answers

Answer:

22

Step-by-step explanation:

34-12=22 you just basically subtract 34 and 12 and it gives you 22 but theres the equation too

34-12=22

Jose has 22$ to spend on food and games

Evaluate 5c+cd5c+cd5, c, plus, c, d when c=\dfrac15c=
5
1

c, equals, start fraction, 1, divided by, 5, end fraction and d=15d=15

Answers

Answer:

the value is 4

Step-by-step explanation:

find the missing part of the proof for m A. m B. m C. m D. m

Answers

Therefore, K= 66 degrees, LK length = 22 unit, and LK length = 22 unit are the answers to the specific problem of angles.

Angles are what?

A geometrical angled construction is constructed from two rays that converge at the summit, or center, of both the angle and are referred to as the face and the vertex, respectively. Guess it depends on how they're situated, it is possible for two rods to create an angle together within plane. When two planes collide, an inclination is also formed. Diahedral angles are the term used to refer to them. Light beams or lines in euclidean geometry can have a wide variety of shapes or angles for the same termination. The phrase "angle" in English is based on the Latin term "angulus," which meaning "horn." the vertex.

Here,

Given: MKL M = 24 degree right triangle

K is 90 degrees, etc.

Thus,

=> ∠L + ∠M +∠K =180

=> 90 + 24 + ∠K = 180

=>∠K =180-114

K equals 66 degrees.

and

The formula for LK length is 22.

The formula for LK length is 22.

In light of this, the answer to the angle problem is

K=66 degrees, and LK length=2 units. LK length equals two units.

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On a coordinate plane, a line goes through (negative 12, negative 2) and (0, negative 4). A point is at (0, 6).Which point is on the line that passes through (0, 6) and is parallel to the given line? (–12, 8) (–6, 6) (2, 8) (6, 0)

Answers

Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Since, We know that;

Parallel lines have same slopes and different y-intercepts

The formula of the slope of a line which passes through points (x₁ , y₁) and (x₂, y₂) is,

⇒  m = (y₂ - y₁) / (x₂ - x₁)

Since, The given line passes through points (-12 , -2) and (0 , -4)

Hence, Use the formula of the slope above to find the slope of the given line as;

⇒ m = (y₂ - y₁) / (x₂ - x₁)

⇒ m = (-4 - (-2)) / (0 - (-12))

⇒ m = (-2) / 12

⇒ m = - 1/6

Since, The two lines are parallel.

Hence, Their slopes are equal

So, The slope of the parallel line = - 1/6

Here, The parallel line passes through point (0 , 6)

Since, The form of the linear equation is y = mx + b, where m is the slope and b is the y-intercept.

⇒ m = -1/6 and b = 6

Hence, The equation of the parallel line is,

⇒ y =  x + 6

Now, Let us check which point is on the line by substitute the x in the equation by the x-coordinate of each point to find y, if y is equal the y-coordinate of the point, then the point is on the line as;

Point (-12 , 8)

Substitute x = -12 and y = 8

⇒ y =  (-12) + 6

⇒ y = 2 + 6 = 8

Clearly, The value of y is equal the y-coordinate of the point.

So, Point (-12 , 8) is on the line.

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What is the prouduct of 2 and 0.73

Answers

Answer:

1.46

Step-by-step explanation:

We can represent this problem as an array of dots, where each dot represents 0.73 units.

⚫️ ⚫️

We can see that the resulting product of 2 × 0.73 is just the sum of two dots. We can represent this in equation form as:

0.73 + 0.73

Finally, we can execute the addition by adding the tenths and hundredths of each number separately, then adding everything together at the end.

tenths           +  hundredths

(0.70 + 0.70) + (0.03 + 0.03)

1.40 + 0.06

1.46

Equivalent fractions for 1 3/4 and 1 4/5 using 20 as the common denominator

Answers

Answer:

35/20 and 36/20

Step-by-step explanation:

An achievement exam was given to a population of 1,000 students. However, a sample of only seven of student scores is listed along with their respective z score and percentile rank in the following table. TEST SCORE 42 57 67 72 77 87 97 z score -1.50 -0.75 -0.25 0 0.25 0.75 1.25 percentile rank 10 25 30 45 50 75 95 Using the table information, the test score representing the 3rd decile is: a. 67 b. 77 c. 57 d. 72 e. 97

Answers

The test score representing the 3rd decile is 67. So the option a is correct.

In the given question, an achievement exam was given to a population of 1,000 students.

However, a sample of only seven of student scores is listed along with their respective z score and percentile rank in the following table.

TEST SCORE      42        57        67        72        77        87        97

z score              -1.50     -0.75    -0.25     0        0.25     0.75     1.25

percentile rank  10         25        30       45        50       75        95

Using the table information, we have to find the test score representing the 3rd decile.

As we know that the 3rd decile is equal to the 30th percentile.

So that the 3rd decile have the percentile rank = 30

The test score equivalent to percentile rank 30 is 67.

So, the test score representing the 3rd decile is 67. So the option a is correct.

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This year’s favorite to win the frog jumping event is Newton. The objective is to take the longest jumps and stop as close as possible to 120 steps. Pythagoras and Fermat are Newton’s toughest competition. ● Newton takes 4 jumps and falls short of the mark by 4 steps. ● Pythagoras takes 5 jumps and overshoots the mark by 5 steps. ● Fermat hits the mark exactly after 6 jumps. How long, in steps, is each frog’s jump?

Answers

The length of jump by Pythagoras = 25 units

The length of jump by Newton = 29 units

The length of jump by Fermat = 20 units

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the length of the jump by Pythagoras be P

Let the length of the jump by Newton be N

Let the length of the jump by Fermat be F

Now , the equation will be

The total number of steps = 120 steps

The number of jumps by Pythagoras = 5 jumps

The number of steps overshoot by Pythagoras = 5 steps

So , P ( 5 ) - 5 = 120   be equation (1)

On simplifying the equation , we get

Adding 5 on both sides of the equation , we get

5P = 125

Divide by 5 on both sides of the equation , we get

P = 25 units

The number of jumps by Newton = 4 jumps

The number of steps fell short by Newton = 4 steps

So , N ( 4 ) + 4 = 120   be equation (2)

On simplifying the equation , we get

Subtracting 4 on both sides of the equation , we get

4N = 116

Divide by 4 on both sides of the equation , we get

N = 29 units

The number of jumps by Fermat = 6 jumps

So , F ( 6 ) = 120   be equation (2)

On simplifying the equation , we get

Divide by 6 on both sides of the equation , we get

F = 20 units

Therefore , the value of P , N and F are 25 , 29 and 20 units respectively

Hence , the length of each jump is 25 , 29 and 20 units

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Can someone please help me with this I'm not great with math.

The width of a rectangle is unknown. The length of the rectangle is two more units than its width.

Write a simplified algebraic expression for the area of the rectangle in terms of width (w).

Write your answer in descending order with no spaces. Use w as your variable and use ^ infront of exponents

Answers

The algebraic expression for area of rectangle in terms of width(w) is w^2+2w.

What is algebraic expression?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.).

The expressions are mainly of 4 types that includes:

Monomial Expression: These expressions have only one term.Binomial Expression: These expressions have two terms.Trinomial Expression: These expressions have three terms.Polynomial Expression: These expressions have many terms.

Let the width be w.

So, length of rectangle will be w+2

Now, area of rectangle is length*width

Area= (w+2)*w

= w^2+2w

Hence, a simplified algebraic expression for the area of the rectangle in terms of width (w) is w^2+2w.

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two electric irons were sold at Rs.1050 each. If one was sold at a loss of Rs.300 and the other at a profit of Rs.450, what was the total cost price? Find the profit or loss​

Answers

Answer:

Step-by-step explanation:

Selling price of two irons is Rs.1050 each.

Loss on one iron = Rs.300

Profit on second iron = Rs.450

We know that ,

Cost price = Selling price + loss ,when loss is given

and cost price = Selling price - profit ,when profit is given.

therefore, cost price of first iron = 1050 + 300 =1350 rupees

cost price of second iron = 1050 - 450 = 600 rupees

total cost price = 1350 + 600 = 1950 rupees

total selling price = 1050 + 1050 = 2100 rupees

since total cost price < selling price

so, there is a profit of 2100 - 1950 = 150 rupees.

Using the clues below, what is the value of the bigger number?

Clue 1: The sum of two numbers is ten.
Clue 2: The difference of the numbers is two.

Answers

Answer:

6

Step-by-step explanation:

Call the bigger number a, smaller b
a + b = 10
b + 2 = a
a + b + 2 = a + a = 2a = 12
a = 12 : 2
a = 6

Find the Average Rate of Change of the table below for the interval 2 < x < 5

Answers

The AROC is 3 for the interval 2 < x < 5, which is the correct answer that would be option (A).

What is the rate?

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

The table is given in the question as follows:

x          y

0         -2

1         -3

2         0

3         3

4         6

5         9

We have to determine the Average Rate of Change in the table below for the interval 2 < x < 5

As per the given table, the required AROC would be as:

⇒ (9 - 3)/(5-3)

⇒ 6/2

Apply the division operation, and we get

⇒ 3

Hence, the correct answer would be option (A).

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I need help with these questions can someone help please

Answers

Answer:you just have to find the slope

Step-by-step explanation:

so all you have to do is start by doing y=Mx+b. You start by placing down you b point on the y axis and then Do your Mx it should look something like this

3 times one number minus a second is 8 and the sum of the numbers is 12

Answers

Answer: 3x-y=8

Step-by-step explanation:

Solve for 2 |v+2|-41=-9

If there is more than one solution, separate them with commas. If there is no solution, click on "No solution"

Answers

Answer:

[tex]v=-18,14[/tex]

Step-by-step explanation:

[tex]2|v+2|-41=-9\\2|v+2|=32\\|v+2|=16\\\\v+2=16\\v=14\\\\v+2=-16\\v=-18[/tex]

A coin with probability p of showing up heads is tossed n times. What is the probability that the number of heads is odd

Answers

The chance you get a odd number of heads from the first coin is 1/3,

What is the probability that the number of heads is odd? The tosses of the coin are independent (neither affects the other). Hence, the probability of a head on Flip 1 and a head on Flip 2 is the product of P(H) and P(H), which is 1/2 x 1/2 = 1/4. The same calculation applies to the probability of a head on Flip 1 and a tail on Flip 2For n≥3, if the last outcome is T, then the probability that the first (n−1)tosses do not contain two (or more consecutive heads is p n−1  and if the last outcome is H, then (n−1)th outcome must be T and the probability the first(n−2) tosses do not contain two (or more) consecutive heads is p n−2 . Hence, p n =p n−1 ×P (nth toss results in a tail)+p n−2 ×P (nth toss results in a head and (n−1)th toss results in a tail)=(1−p)p n−1+p(1−p)p n−2

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I need to know the andwer to 0.03 divided by 0.81 in division of decimals

Answers

Answer: 0.0370 (Italic part repeats forever)

Step-by-step explanation:

Answer: 0.037...

Step-by-step explanation:

Multiply = 4/7 x 5 1/4
please help me

Answers

Answer:

3

Step-by-step explanation:

[tex]\displaystyle \frac{4}{7}*5\frac{1}{4}=\frac{4}{7}*\frac{21}{4}=\frac{21}{7}=3[/tex]

567854+98723=?

Let's see who knows the correct answer

Answers

Answer: 666,577

Explanation:

Imagine you have a wood block that is 4 cm wide, 4 cm long, and 8 cm high. It
weights 200 grams.
What is the volume of the block? Be sure to include the units.
Then, imagine that you are cutting the block into 2 exactly equal halves. What is the
volume of one of the pieces (including the units)? How does its volume compare to
that of the original block?

Answers

The way that the new volume compares to the original volume of the block is that the new volume is half of the original volume.

How to find the volume of the block?

The volume of a rectangular block is gotten from the formula;

Volume = length * width * height

Now, we are given;

Width = 4 cm

Length = 4 cm

Height = 8 cm

Thus;

Volume of block = 4 * 4 * 8

= 128 cm³

Now, if you are cutting the block into 2 exactly equal halves, then you can say that;

New length = 4/2 = 2cm

Thus;

Volume of cut block = 2 * 4 * 8

= 64 cm²

This is concluded to be half of the original block.

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Which of the following is a perfect square trinomial?

(A) 5x2 - 5x + 1

(B) 5x2 - 10x + 5

(C) 10x2 - 20x + 5

(D) 25x2 - 20x + 3

(E) 25x2 + 20x + 4

Answers

Answer:

B is the perfect square

Step-by-step explanation:

It takes 3 hours to drive 180 miles. How long will it take to drive 330 miles?

Answers

Answer:

5.5

Step-by-step explanation:

180/3 =60 (60/1 hr)

330/60 =5.5

In an isosceles triangle ABC with AC = BC, point M is on the side BC , and point N is on the segment MC. It is known that MN=AM, and m∠BAM=m∠NAC. Find m∠MAC

Answers

The measure of angle MAC is 90°.

What is means of isosceles triangle?

An isosceles triangle is a type of triangle where two of its sides are congruent, or have the same length. This means that if you draw a line down the center of an isosceles triangle, it will split the triangle in half and both halves will have the same side lengths.

In an isosceles triangle, the angles opposite the congruent sides are congruent. Therefore, in triangle ABC, m∠BAM = m∠CAB = m∠NAC.

Since angle BAM and angle NAC are congruent, and they are both supplementary to angle MAC, it follows that angle MAC is congruent to itself.

Therefore, m∠MAC = m∠MAC = 180 - m∠BAM = 180 - m∠NAC.

Since m∠BAM = m∠NAC, we can conclude that

m∠MAC = 180 - m∠NAC = 90°

Hence, the measure of angle MAC is 90°.

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F(x)=5-3x find f(x+2)

Answers

Answer:

f(x + 2) = - 3x - 1

Step-by-step explanation:

substitute x = x + 2 into f(x) , that is

f(x + 2)

= 5 - 3(x + 2)

= 5 - 3x - 6

= - 3x - 1

Given f(x)=5−3x

Put x=x+2, we get,
f(x+2)=5−3(x+2)

∴f(x+2)=5−3x−6

∴f(x+2)=−1−3x

carmen has 92 kilograms of clay. she has 5 students in her art class. how much clay does each student get

Answers

Answer:

18.4 kg of clay

Step-by-step explanation:

92 kg for 5 students
=> 92 : 5 = 18,4 kg for 1 student

Answer: 18.4 kg

Step-by-step explanation:

DATA :

total mass of clay = 92 kg

total students = 5

how much clay does each student get?

SOLUTION:

assuming that each student got equal amount of clay, we are simply going to divide ⇒92 by 5.

⇒92 ÷ 5

⇒18.4 kg ANSWER

hope that helps...

2. The value of a machine depreciates by 5% every year. It is given that the initial value of the machine is RM100 000.

(a) Express its value, in RM, after n years.

(b) Hence, find its value after 10 years to the nearest ringgit.​

Answers

Answer:

Step-by-step explanation:

Depreciation means wearing and tearing in the value of an asset over the years

(a) Given:

p = initial value of an asset

i% = depreciation per year

n = number of years

Depreciation after n years (d) = [tex]p(1-\frac{1}{100} )^{n}[/tex]

Value of machine after n years = p-d

(b) Given:

p = RM100000

i% = 5

n = 10
Depreciation after 10 years = [tex]100000(1-\frac{5}{100} )^{10} = 59873.69392[/tex]

Value of machine after 10 years = p-d = RM100000 - RM59873.69392 = RM 40123.30608

Value of machine after 10 years to nearest ringgit = RM40123

In AJLP. m/JMP = (3x −6)°, JK = 3y-2, and LK = 5y-8. Find LK if PK is a median.
LK=

Answers

On solving the provided question, we can say that - the value ox in the following angle = 3x = 84 => x = 28

what are angles?

In Euclidean geometry, an angle is a shape made up of two rays, referred to as the angle's sides, that meet at a point in the middle known as the angle's vertex. Two rays can generate an angle that is in the plane where the rays are located. The meeting of two planes also creates an angle. They are referred to as dihedral angles. An angle is the shape created by two rays or lines that have a shared termination in plane geometry. The Latin word "angulus," which meaning "horn," is the source of the English term "angle." The vertex is the common terminal of the two rays, which are referred to as the sides of the angle.

here

angle JMP = 3x-6 - 90

3x = 84

x = 28

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A water desalination plant can produce 2.8 * 10 to the power of 6 gallons of water in one day. How many gallons can it produce in 5 days?

Answers

Thus , multiplication factor answer is water desalination plant can produce 2.8 x 10⁶ gallons per day. Thus, it can produce 1.4 x 10⁷gallons in 5 days.

What is the difference between factors and multiplies?

A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes. To understand better, let us take a multiplication example of the ice creams. Each group has ice creams, and there are two such groups.

Here,

So if there was 5 days, it would produce 5 times the amount above.

So 5 × (2.8 × 10⁶) = 14 × 10⁶

We must rewrite in scientific notation, so:

14 x 10⁶ = 1.4 x 10⁷

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Thus , multiplication factor answer is water desalination plant can produce 2.8 x 10⁶ gallons per day. Thus, it can produce 1.4 x 10⁷gallons in 5 days.

What is the difference between factors and multiplies?

A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes. To understand better, let us take a multiplication example of the ice creams. Each group has ice creams, and there are two such groups.

Here,

So if there was 5 days, it would produce 5 times the amount above.

So 5 × (2.8 × 10⁶) = 14 × 10⁶

We must rewrite in scientific notation, so:

14 x 10⁶ = 1.4 x 10⁷

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There are 90 kids in the band. 20% of the kids own their own instruments, and the rest rent them how many kids own their instruments how many kids rent their instruments and what percentage of kids rent their instruments?

Answers

Answer: 80% rent or 72 students

Step-by-step explanation:

20 percent of 90 is 18

So 18 kids own instruments

100-20=80%

So 80% of kids do rent instruments

Or

18x4= 72 kids rent

There were 9 pieces of paper. Some of them were cut into 3 pieces. As a result, there
are now 15 pieces of paper. How many pieces of paper were cut?

Answers

Answer:15-9=3

6=3

6÷3

2 is the required answer for this question

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